Finding the Third Proportional to 42,228 and 92,016

Step by Step Solution

1. Step 1: Write the proportion equation
   42,228 : 92,016 = 92,016 : x
2. Step 2: Convert to fraction form
   42,228/92,016 = 92,016/x
3. Step 3: Cross multiply
   42,228x = 92,016 × 92,016
4. Step 4: Simplify right side
   42,228x = 8,466,944,256
5. Step 5: Solve for x
   x = 8,466,944,256/42,228
6. Step 6: Final answer
   x = 200,505.45